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Related papers: Paired Orbitals for Different Spins equations

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We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Kaushik Paul , Chandra Kant Mishra

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

The exchange-correlation energy in Kohn-Sham density functional theory is expressed as a functional of the electronic density and the Kohn-Sham orbitals. An alternative to Kohn-Sham theory is to express the energy as a functional of the…

Computational Physics · Physics 2009-10-31 S. Goedecker , C. Umrigar

This paper concerns on linked periodic orbits of orientation-preserving homeomorphisms of the $2$-disc in the sense of Gambaudo. We interpret the linking of periodic orbits by using their induced braids. Then based on the forcing relation…

Dynamical Systems · Mathematics 2023-12-11 Xiang Liu

We investigate higher spin AdS$_{3}$ gravity with real split forms of complex A$_{N}$ B$_{N}$, C$_{N}$ and D$_{N}$ Lie algebras. This is done by linking $SO(1,2)$ spin multiplets with splitted root systems using Tits-Satake diagrams of real…

High Energy Physics - Theory · Physics 2024-09-27 Rajae Sammani , Youssra Boujakhrout , El Hassan Saidi , Rachid Ahl Laamara , Lalla Btissam Drissi

Equivalence between algebraic equations of motion may be detected by using a $p$-adic method, methods using factorization and linear algebra, or by systematic computer search of suitable Tschirnhausen transformations. Here, we show standard…

Chaotic Dynamics · Physics 2018-10-05 Owen J. Brison , Jason A. C. Gallas

Historically, the eccentricity of Sommerfeld orbits from quantization conditions in either parabolic or spherical coordinates was found to differ in almost all cases. To do the orbit comparison correctly, one must use amended instead of…

History and Philosophy of Physics · Physics 2014-10-16 Manfred Bucher

The essential role of synthetic spin-orbit coupling in discovering new topological matter phases with cold atoms is widely acknowledged. However, the engineering of spin-orbit coupling remains unclear for arbitrary-spin models due to the…

Quantum Gases · Physics 2024-09-25 Zhen Zheng , Yan-Qing Zhu , Shanchao Zhang , Shi-Liang Zhu , Z. D. Wang

We solve exactly the eigenvalue problem for a spin Hamilton operator describing graviton-photon coupling. Entanglement of the eigenstates are also studied. Other spin-coupled Hamilton operators involving spin-1 and spin-2 are also…

Mathematical Physics · Physics 2013-06-07 Yorick Hardy , Willi-Hans Steeb

We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

The special role played by singly polarized high-energy hadron-hadron collisions in Spin Physics is discussed: In such processes, the measured and the calculated quantities can be and have been directly compared with each other --- without…

High Energy Physics - Phenomenology · Physics 2007-05-23 Meng Ta-chung

The Green function of the quark-antiquark system in the confining background field is analysed using the Feynman-Schwinger formalism. The Hamiltonian for the case of massive spinning quarks is obtained in the form containing essentially…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Kustov

With octahedrally coordinated $t_{\rm 2g}$ orbitals which are active at filling $n=2$, the $\rm Sr_2CrO_4$ compound exhibits rich interplay of spin-orbital physics with tetragonal distortion induced crystal field tuning by external agent…

Strongly Correlated Electrons · Physics 2022-10-20 Shubhajyoti Mohapatra , Dheeraj Kumar Singh , Avinash Singh

A unified theory of orthogonal polynomials of a discrete variable is presented through the eigenvalue problem of hermitian matrices of finite or infinite dimensions. It can be considered as a matrix version of exactly solvable Schr\"odinger…

Classical Analysis and ODEs · Mathematics 2008-11-26 Satoru Odake , Ryu Sasaki

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

Odd-parity magnetic and magnetic toroidal multipoles in the absence of both spatial-inversion and time-reversal symmetries are sources of multiferroic and nonreciprocal optical phenomena. We investigate electronic states caused by an…

Strongly Correlated Electrons · Physics 2021-07-14 Satoru Hayami , Hiroaki Kusunose

An exact-exchange spin-current Kohn-Sham method to treat non-collinear spin, magnetic effects, currents, spin-currents, and spin-orbit interactions self-consistently on equal footing is introduced. Spin-orbit interactions are shown to…

Materials Science · Physics 2007-05-23 Stefan Rohra , Eberhard Engel , Andreas Goerling

The spin-orbit coupling in the absence of spatial inversion symmetry plays an important role in realizing intriguing electronic states in solids, such as topological insulators and unconventional superconductivity. Usually, the inversion…

Strongly Correlated Electrons · Physics 2016-08-24 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

Perturbative approaches are methods to efficiently tackle many-body problems, offering both intuitive insights and analysis of correlation effects. However, their application to systems where light and matter are strongly coupled is…

Chemical Physics · Physics 2025-03-07 Yassir El Moutaoukal , Rosario R. Riso , Matteo Castagnola , Enrico Ronca , Henrik Koch

We demonstrate the emergence of collective spin modes with hyperbolic dispersion in three-dimensional spin-orbit coupled polar metals magnetized by intrinsic ordering or applied fields. These particle-hole bound states exist for arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 Abhishek Kumar , Premala Chandra , Pavel A. Volkov